Least Common Multiple of 3115/678, 4685/4164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3115/678, 4685/4164 quickly i.e. 2918755/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3115/678, 4685/4164 is 2918755/6.

LCM(3115/678, 4685/4164) = 2918755/6

LCM of 3115/678, 4685/4164

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3115/678,4685/4164

Given numbers are 3115/678,4685/4164

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3115,4685

Least Common Multiple of Numerators i.e. LCM of 3115,4685 is 2918755.

GCF of Denominators means GCF of 678,4164 as per the given fractions.

GCF of 678,4164 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3115,4685

LCM of Fractions 3115/678,4685/4164 is 2918755/6

5 3115, 4685
623, 937

∴ So the LCM of the given numbers is 5 x 623 x 937 = 2918755

Least Common Multiple of 3115,4685 with GCF Formula

Least Common Multiple of 3115,4685 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3115,4685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3115,4685) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(3115,4685) x common factors =5 x 1 = 5

LCM(3115,4685) = ( 3115 × 4685 ) / 5

LCM(3115,4685) = 14593775 / 5

LCM(3115,4685) = 2918755


Lets's calculate GCF of 678,4164

2 678, 4164
3 339, 2082
113, 694

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2918755/6

Therefore the LCM of Fractions 3115/678,4685/4164 is 2918755/6

Greatest Common Factor of 678,4164 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,4164 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1,2,3,4,6,12,347,694,1041,1388,2082,4164

Greatest Common Factor

We found the factors 678,4164 . The biggest common factor number is the GCF number.
So the greatest common factor 678,4164 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3115/678, 4685/4164

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3115/678, 4685/4164?

Answer: LCM of Numerators as per given numbers 3115/678, 4685/4164 is

LCM of Numerators i.e. for 3115,4685 is 2918755

GCF of denominators i.e. for 678,4164 is 6.

Thus, LCM of Fractions is 2918755/6.Finally, LCM of Fractions for 3115/678, 4685/4164 is 2918755/6.